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Degrees to Radians Conversion

Degree to radian conversion allow you make a conversion between degree and radian easily. You can find the tool in the following.

Angle Conversion

to

input
= 0.01745329
= 174533 × 10-7
= 174533E-7
= 174533e-7
= 0.03490658
= 349066 × 10-7
= 349066E-7
= 349066e-7
= 0.05235988
= 523599 × 10-7
= 523599E-7
= 523599e-7
= 0.06981317
= 698132 × 10-7
= 698132E-7
= 698132e-7
= 0.08726646
= 872665 × 10-7
= 872665E-7
= 872665e-7

Quick Look: degrees to radians

degree1 °2 °3 °4 °5 °6 °7 °8 °9 °10 °11 °12 °13 °14 °15 °16 °17 °18 °19 °20 °21 °22 °23 °24 °25 °26 °27 °28 °29 °30 °31 °32 °33 °34 °35 °36 °37 °38 °39 °40 °41 °42 °43 °44 °45 °46 °47 °48 °49 °50 °51 °52 °53 °54 °55 °56 °57 °58 °59 °60 °61 °62 °63 °64 °65 °66 °67 °68 °69 °70 °71 °72 °73 °74 °75 °76 °77 °78 °79 °80 °81 °82 °83 °84 °85 °86 °87 °88 °89 °90 °91 °92 °93 °94 °95 °96 °97 °98 °99 °100 °
radian0.0174533 rad0.0349066 rad0.0523599 rad0.0698132 rad0.0872665 rad0.1047198 rad0.1221730 rad0.1396263 rad0.1570796 rad0.1745329 rad0.1919862 rad0.2094395 rad0.2268928 rad0.2443461 rad0.2617994 rad0.2792527 rad0.2967060 rad0.3141593 rad0.3316126 rad0.3490658 rad0.3665191 rad0.3839724 rad0.4014257 rad0.4188790 rad0.4363323 rad0.4537856 rad0.4712389 rad0.4886922 rad0.5061455 rad0.5235988 rad0.5410521 rad0.5585054 rad0.5759586 rad0.5934119 rad0.6108652 rad0.6283185 rad0.6457718 rad0.6632251 rad0.6806784 rad0.6981317 rad0.7155850 rad0.7330383 rad0.7504916 rad0.7679449 rad0.7853982 rad0.8028514 rad0.8203047 rad0.8377580 rad0.8552113 rad0.8726646 rad0.8901179 rad0.9075712 rad0.9250245 rad0.9424778 rad0.9599311 rad0.9773844 rad0.9948377 rad1.0122909 rad1.0297442 rad1.0471975 rad1.0646508 rad1.0821041 rad1.0995574 rad1.1170107 rad1.1344640 rad1.1519173 rad1.1693706 rad1.1868239 rad1.2042772 rad1.2217305 rad1.2391837 rad1.2566370 rad1.2740903 rad1.2915436 rad1.3089969 rad1.3264502 rad1.3439035 rad1.3613568 rad1.3788101 rad1.3962634 rad1.4137167 rad1.4311700 rad1.4486233 rad1.4660765 rad1.4835298 rad1.5009831 rad1.5184364 rad1.5358897 rad1.5533430 rad1.5707963 rad1.5882496 rad1.6057029 rad1.6231562 rad1.6406095 rad1.6580628 rad1.6755161 rad1.6929693 rad1.7104226 rad1.7278759 rad1.7453292 rad

degree (in full, a degree of arcarc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle, defined so that a full rotation is 360 degrees.

It is not an SI unit, as the SI unit of angular measure is the radian, but it is mentioned in the SI brochure as an accepted unit.Because a full rotation equals 2π radians, one degree is equivalent to π/180 radians.

Name of unitSymbolDefinitionRelation to SI unitsUnit System
degree°

≡  1360 of a revolution ≡  π180 rad

≈ 17.453293×10−3 rad

Metric system SI

conversion table

degreesradiansdegreesradians
1≈ 0.0174532922222226≈ 0.10471975333333
2≈ 0.0349065844444447≈ 0.12217304555556
3≈ 0.0523598766666678≈ 0.13962633777778
4≈ 0.0698131688888899≈ 0.15707963
5≈ 0.08726646111111110≈ 0.17453292222222

The radian is the standard unit of angular measure, used in many areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is just under 57.3 degrees.

Name of unitSymbolDefinitionRelation to SI unitsUnit System
radianrad

The angle subtended at the center of a circle by an arc whose length is equal to the circle's radius. One full revolution encompasses 2π radians.

= 1 rad

Metric system SI

conversion table

radiansdegreesradiansdegrees
1≈ 57.2957804904436≈ 343.77468294266
2≈ 114.591560980897≈ 401.0704634331
3≈ 171.887341471338≈ 458.36624392354
4≈ 229.183121961779≈ 515.66202441399
5≈ 286.4789024522110≈ 572.95780490443

Conversion table

degreesradians
1≈ 0.0174533
57.2957805≈ 1

Conversion in other languages

You can find the conversion in other languages in the following:

Legend

SymbolDefinition
exactly equal
approximately equal to
=equal to
digitsindicates that digits repeat infinitely (e.g. 8.294 369 corresponds to 8.294 369 369 369 369 …)